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https://hdl.handle.net/10316/89422
Title: | Some remarks on protolocalizations and protoadditive reflections | Authors: | Clementino, Maria Manuel Gran, Marino Janelidze, George |
Keywords: | Localization; protolocalization; protoadditive reflection; Kurosh–Amitsur radical; attainable subvariety; internal group; short exact sequence. | Issue Date: | Jan-2018 | Publisher: | World Scientific Publishing | Project: | CMUC-UID/MAT/00324/2013 | Serial title, monograph or event: | Journal of Algebra and Its Applications | Volume: | 17 | Issue: | 11 | Abstract: | We investigate additional properties of protolocalizations, introduced and studied by Borceux, Clementino, Gran, and Sousa, and of protoadditive reflections, introduced and studied by Everaert and Gran. Among other things, we show that there are no nontrivial (protolocalizations and) protoadditive reflections of the category of groups, and establish a connection between protolocalizations and Kurosh–Amitsur radicals of groups with multiple operators whose semisimple classes form subvarieties. | URI: | https://hdl.handle.net/10316/89422 | DOI: | 10.1142/S0219498818502079 | Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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RemarksProtolocalization_resubmitted.pdf | 311.77 kB | Adobe PDF | View/Open |
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